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Finding the Third Proportional to 57,226.50 and 87,547.50

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Solution

The third proportional to 57,226.50 and 87,547.50 is: 133,933.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,226.50 : 87,547.50 = 87,547.50 : x
  2. Step 2: Convert to fraction form
    57,226.50/87,547.50 = 87,547.50/x
  3. Step 3: Cross multiply
    57,226.50x = 87,547.50 × 87,547.50
  4. Step 4: Simplify right side
    57,226.50x = 7,664,564,756.25
  5. Step 5: Solve for x
    x = 7,664,564,756.25/57,226.50
  6. Step 6: Final answer
    x = 133,933.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.